Pre-Algebra Examples

$1 - \frac{5}{24} - \frac{5}{24}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$1 + \frac{- 5 - 5}{24}$

Step 1.2

Subtract $5$ from $- 5$ .

$1 + \frac{- 10}{24}$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $- 10$ and $24$ .

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Step 2.1.1

Factor $2$ out of $- 10$ .

$1 + \frac{2 (- 5)}{24}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $24$ .

$1 + \frac{2 \cdot - 5}{2 \cdot 12}$

Step 2.1.2.2

Cancel the common factor.

$1 + \frac{2 \cdot - 5}{2 \cdot 12}$

Step 2.1.2.3

Rewrite the expression.

$1 + \frac{- 5}{12}$

Step 2.2

Move the negative in front of the fraction.

$1 - \frac{5}{12}$

Step 3

Simplify the expression.

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Step 3.1

Write $1$ as a fraction with a common denominator.

$\frac{12}{12} - \frac{5}{12}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{12 - 5}{12}$

Step 3.3

Subtract $5$ from $12$ .

$\frac{7}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$